<> "The repository administrator has not yet configured an RDF license."^^ . <> . . "On arc coordinates for maximal representations"^^ . "Given a hyperbolic surface with boundary, arc coordinates provide a parametrization of the Teichmüller space. They rely on the choice of a family of arcs which start and end at boundary components and are orthogonal to them. Higher rank Teichmüller theories are a generalization of classical Teichmüller theory and are concerned with the study of representations of the fundamental group of an oriented surface of negative Euler characteristic into simple real Lie groups G of higher rank. It is well known that maximal representations are a higher rank Teichmüller theory for G Hermitian. In this thesis we will discuss how to generalize arc coordinates for maximal representations, focusing on the case where the surface is a pair of pants and G is PSp(4,R). This will be possible by introducing geometric parameters on the space of right-angled hexagons in the Siegel space X, which lead to the visualization of a right-angled hexagon as a polygonal chain inside the hypervolic plane. We discuss geometric properties of reflections in X and introduce the notion of maximal representations of a reflection group W3. We give a parametrization of maximal representations of W3 into PSp(4,R), which allows us to parametrize a subset of maximal and Shilov hyperbolic representations into PSp(4,R)."^^ . "2024" . . . . . . . "Marta"^^ . "Magnani"^^ . "Marta Magnani"^^ . . . . . . "On arc coordinates for maximal representations (PDF)"^^ . . . "On arc coordinates for maximal representations.pdf"^^ . . . "On arc coordinates for maximal representations (Other)"^^ . . . . . . "lightbox.jpg"^^ . . . "On arc coordinates for maximal representations (Other)"^^ . . . . . . "preview.jpg"^^ . . . "On arc coordinates for maximal representations (Other)"^^ . . . . . . "medium.jpg"^^ . . . "On arc coordinates for maximal representations (Other)"^^ . . . . . . "small.jpg"^^ . . "HTML Summary of #34521 \n\nOn arc coordinates for maximal representations\n\n" . "text/html" . . . "510 Mathematik"@de . "510 Mathematics"@en . .